Finite Group Databasebeta

← #29647206

Subgroups — #29647206

Order 15616.

1166 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459853C211yesmaximal, characteristic
2#21454853C211yesmaximal, characteristic, complemented
3#21448181C211yesmaximal, characteristic, complemented
4#21444344C211yesmaximal, characteristic, complemented
5#21444333C212yesmaximal, complemented
6#21444326C211yesmaximal, characteristic, complemented
7#21444322C212yesmaximal, complemented
8#21444315C211yesmaximal, characteristic, complemented
9#21444309C212yesmaximal, complemented
10#327×D61C212yesmaximal, complemented
11C61×#1500C211yesmaximal, characteristic, complemented
12#16840477C411yescharacteristic, complemented
13#16840472C411yescharacteristic, complemented
14#16840465C412yescomplemented
15#16840458—21no—
16#16840434C411yescharacteristic, complemented
17#16840405C412yescomplemented
18#16840404—22no—
19D4×D244—21no—
20D4×D244C411yescharacteristic, complemented
21#16840367—21no—
22#16840351—22no—
23#16840312C2211yescharacteristic
24#16840275C2212yes—
25#121×D61C2212yes—
26#16840236—21no—
27C2×C4×D244—21no—
28C2×C4×D244C2211yescharacteristic
29#16839841—21no—
30#16839832—22no—
31C8×D244—21no—
32#16839819C2211yescharacteristic, complemented
33#16839724C2212yescomplemented
34C22⋊C8×D61C2212yescomplemented
35C4×C4⋊Dic61—21no—
36C4×C4⋊Dic61C2211yescharacteristic, complemented
37#16839609—22no—
38#16839609C2212yescomplemented
39#95×D61C2212yescomplemented
40#16839499C2212yescomplemented
41#16839497C2212yescomplemented
42#16839497C2212yescomplemented
43#16839496C2212yes—
44#16839495C2212yescomplemented
45#16839495C2212yescomplemented
46C61×#529C2211yescharacteristic
47C61×#431C2211yescharacteristic, complemented
48C61×#376C2211yescharacteristic, complemented
49C61×#328C2211yescharacteristic, complemented
50C61×#328C2211yescharacteristic, complemented
51C61×#327C2211yescharacteristic
52C61×#327C2211yescharacteristic
53C2×#11758226C2×C412yescomplemented
54C2×#11758222—21no—
55C22×D244—21no—
56C22×D244D411yescharacteristic
57C2×D4×D61—22no—
58C2×D4×D61C2×C412yescomplemented
59C22×C4×D61—22no—
60C22×C4×D61C2312yes—
61C2×#11758189—22no—
62C2×C8×D61—22no—
63#14519777C2×C411yescharacteristic, complemented
64#14519774—21no—
65#14519774C2×C411yescharacteristic, complemented
66#14519772—22no—
67#14519769—21no—
68#14519765—21no—
69#14519763—22no—
70#14519762—22no—
71#14519762—22no—
72#14519759—22no—
73#14519755—22no—
74#14519753C2×C412yescomplemented
75#14519752—22no—
76#14519752—22no—
77#14519752C2×C412yescomplemented
78#14519752C2×C412yescomplemented
79#14519751—21no—
80#14519751—21no—
81#14519751—21no—
82#14519751C2312yes—
83#14519750—22no—
84#14519750—22no—
85#14519749—22no—
86#14519748C2×C412yescomplemented
87#14519747—22no—
88#14519747—22no—
89#14519747—22no—
90C4×D244—28no—
91C4×D244—21no—
92C4×D244—21no—
93C4×D244—21no—
94C4×D244C2×C412yes—
95C4×D244C2×C411yescharacteristic
96C4×D244C2×C411yescharacteristic
97C4×D244C2×C412yescomplemented
98C4×D244D411yescharacteristic
99C4×D244D412yes—
100C4×D244D411yescharacteristic
101#14519739—22no—
102#14519739—22no—
103#14519737—22no—
104#14519736—21no—
105#14519735C2×C412yescomplemented
106C2×C4⋊Dic61—21no—
107C2×C4⋊Dic61D411yescharacteristic
108C4⋊C4×D61C2×C412yescomplemented
109C2×#11758198—22no—
110C2×#11758198D412yes—
111C22⋊C4×D61—22no—
112C22⋊C4×D61—22no—
113C2×C4×Dic61—21no—
114C2×C4×Dic61—22no—
115C4⋊#92418—21no—
116C22⋊#92418C2312yes—
117#14519689—22no—
118#14519689—22no—
119#14519688—21no—
120#14519684—22no—
121#14519684C2312yes—
122#126×C61—21no—
123#125×C61C2×C411yescharacteristic, complemented
124#124×C61C2×C411yescharacteristic, complemented
125#123×C61—21no—
126C22⋊Q8×C61C2311yescharacteristic
127#121×C61C2311yescharacteristic
128C4×Q8×C61C2×C411yescharacteristic, complemented
129C4×D4×C61—21no—
130C4×D4×C61C2×C411yescharacteristic, complemented
131#117×C61—21no—
132C2×C42×C61—21no—
133C2×C42×C61C2311yescharacteristic
134C4⋊C8×C61—21no—
135C22⋊C8×C61C2311yescharacteristic
136C22⋊C8×C61C2311yescharacteristic
137C4×C8×C61—21no—
138#95×C61—21no—
139#95×C61C2311yescharacteristic
140#95×C61C2311yescharacteristic
141C23×D61—22no—
142C23×D61C2×D412yes—
143C2×Q8×C61C22×C411yescharacteristic
144C2×D4×C61—21no—
145C2×D4×C61C22×C411yescharacteristic
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61C2×D411yescharacteristic
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2411yescharacteristic
152C2×C22⋊D61—22no—
153C2×C22⋊D61—22no—
154C2×C22⋊D61—22no—
155C22×Dic61—22no—
156C22×Dic61C2×D412yes—
157#11758226—82no—
158D4×D61—82no—
159D4×D61—82no—
160D4×D61—82no—
161#11758222—81no—
162#11758222—81no—
163C2×D244—24no—
164C2×D244—22no—
165C2×D244—21no—
166C2×D244—22no—
167C2×D244—22no—
168C2×D244—21no—
169C2×D244—44no—
170C2×D244C22⋊C412yes—
171C2×D244C22⋊C411yescharacteristic
172C2×D244C22⋊C411yescharacteristic
173C2×D244C22×C412yes—
174C2×C4×D61—28no—
175C2×C4×D61—22no—
176C2×C4×D61—22no—
177C2×C4×D61—22no—
178C2×C4×D61—82no—
179C2×C4×D61—82no—
180C2×C4×D61—82no—
181C2×C4×D61C22×C412yes—
182C2×C4×D61C22×C412yes—
183C2×C4×D61C2×D412yes—
184C2×C4×D61C2×D412yes—
185C2×Dic122—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C4⋊C4×C61—21no—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61C22×C411yescharacteristic
193C4⋊C4×C61C22×C411yescharacteristic
194C22⋊C4×C61—21no—
195C22⋊C4×C61—21no—
196C22⋊C4×C61—21no—
197C22⋊C4×C61—21no—
198C22⋊C4×C61—21no—
199C42×C61—24no—
200C42×C61—21no—
201C42×C61C22×C411yescharacteristic
202C42×C61C22×C411yescharacteristic
203C42×C61C2×D411yescharacteristic
204C42×C61C2×D411yescharacteristic
205C22⋊Dic61—22no—
206#11758198—28no—
207#11758198—22no—
208#11758198—22no—
209#11758198—22no—
210#11758198—22no—
211#11758198—22no—
212#11758198—22no—
213#11758198C22⋊C412yes—
214#11758198C22⋊C412yes—
215#11758198C22⋊C412yes—
216#11758198C22⋊C412yes—
217C4⋊Dic61—24no—
218C4⋊Dic61—21no—
219C4⋊Dic61C22⋊C411yescharacteristic
220C4⋊Dic61C22⋊C411yescharacteristic
221C4⋊Dic61C22⋊C412yes—
222C4⋊Dic61C22×C412yes—
223#11758196—22no—
224#11758196—22no—
225C4×Dic61—22no—
226C4×Dic61—81no—
227C4×Dic61—82no—
228C2×#92418—22no—
229#11758189—82no—
230C8×D61—82no—
231C23×C61—21no—
232C23×C61C22×D411yescharacteristic
233C22×D61—22no—
234C22×D61—22no—
235C22×D61—24no—
236C22×D61—22no—
237C22×D61—42no—
238C22×D61—44no—
239C22×D61—82no—
240C22×D61—82no—
241C22×D61C2×C22⋊C412yes—
242C22×D61C2×C22⋊C412yes—
243Q8×C61—41no—
244D4×C61—41no—
245D4×C61—41no—
246D4×C61—41no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—22no—
250C2×C4×C61—22no—
251C2×C4×C61—22no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—41no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—42no—
261C2×C4×C61C2×C22⋊C411yescharacteristic
262C2×C4×C61C2×C22⋊C411yescharacteristic
263C2×C4×C61C2×C22⋊C411yescharacteristic
264C2×C4×C61C2×C22⋊C411yescharacteristic
265C2×C4×C61C23×C411yescharacteristic
266C2×C4×C61C22×D411yescharacteristic
267C22⋊D61—42no—
268C22⋊D61—42no—
269C22⋊D61—82no—
270C22⋊D61—82no—
271C2×Dic61—24no—
272C2×Dic61—22no—
273C2×Dic61—42no—
274C2×Dic61—42no—
275C2×Dic61—42no—
276C2×Dic61C2×C22⋊C412yes—
277C2×Dic61C2×C22⋊C412yes—
278D244—24no—
279D244—22no—
280D244—42no—
281D244—44no—
282D244—42no—
283D244—81no—
284D244—82no—
285D244—82no—
286D244#10414yes—
287C4×D61—42no—
288C4×D61—42no—
289C4×D61—42no—
290C4×D61—42no—
291C4×D61—82no—
292C4×D61—82no—
293C4×D61—82no—
294C4×D61—88no—
295Dic122—81no—
296C8×C61—41no—
297C8×C61—41no—
298#92418—42no—
299#17547—611nomaximal, Sylow
300C22×C61—21no—
301C22×C61—21no—
302C22×C61—41no—
303C22×C61—41no—
304C22×C61—41no—
305C22×C61C22×C22⋊C411yescharacteristic
306C22×C61#57611yescharacteristic
307C22×C61#57711yescharacteristic
308C2×D61—22no—
309C2×D61—22no—
310C2×D61—22no—
311C2×D61—22no—
312C2×D61—22no—
313C2×D61—44no—
314C2×D61—44no—
315C2×D61—42no—
316C2×D61—42no—
317C2×D61—42no—
318C2×D61—164no—
319C2×D61C2×#10414yes—
320C4×C61—21no—
321C4×C61—21no—
322C4×C61—21no—
323C4×C61—21no—
324C4×C61—21no—
325C4×C61—42no—
326C4×C61—42no—
327C4×C61—41no—
328C4×C61—41no—
329C4×C61—41no—
330C4×C61C2×#10412yes—
331Dic61—22no—
332Dic61—22no—
333Dic61—44no—
334Dic61—42no—
335#3519—611no—
336#2974—611no—
337#2275—611no—
338#1509—611no—
339#1507—612no—
340#1505—611no—
341#1504—612no—
342#1502—611no—
343#1501—612no—
344#1500D6111yescharacteristic, complemented
345C2×#327—612no—
346C2×C61—21no—
347C2×C61—21no—
348C2×C61—81no—
349C2×C61#288311yescharacteristic
350C2×C61#289711yescharacteristic
351C2×C61C22×#10411yescharacteristic
352D61—24no—
353D61—42no—
354D61—82no—
355#555—611no—
356#554—611no—
357#553—612no—
358#553—1221no—
359#550—611no—
360#546—612no—
361#546—1222no—
362D42—611no—
363D42—1221no—
364#540—1221no—
365#538—1222no—
366#532—611no—
367#529C2×D6111yescharacteristic
368#525—612no—
369C2×#121—612no—
370#518—1221no—
371C2×C4×D4—611no—
372C2×C4×D4—1221no—
373#436—1221no—
374#435—1222no—
375C8×D4—1221no—
376#432—611no—
377#431C2×D6111yescharacteristic, complemented
378#407—612no—
379C2×C22⋊C8—612no—
380C4×C4⋊C4—611no—
381C4×C4⋊C4—1221no—
382C4×C22⋊C4—612no—
383C4×C22⋊C4—1222no—
384#376C2×D6111yescharacteristic, complemented
385C2×#95—612no—
386#328—612no—
387#328C2×D6111yescharacteristic, complemented
388#328C2×D6111yescharacteristic, complemented
389#327—612no—
390#327—612no—
391#327—612no—
392#327—612no—
393#327—612no—
394#327C2×D6111yescharacteristic
395#327C2×D6111yescharacteristic
396C61#1754711yescharacteristic, complemented, Sylow
397C2×#41—612no—
398C2×#41—1221no—
399C22×D4—612no—
400C22×D4—611no—
401C22×D4—1221no—
402C22×D4—1222no—
403C23×C4—612no—
404C23×C4—1222no—
405C2×M16—1222no—
406C22×C8—1222no—
407C4⋊Q8—611no—
408#127—611no—
409#127—1221no—
410#126—21no—
411#126—1222no—
412#125—1221no—
413#125C4×D6111yescharacteristic, complemented
414#124—1222no—
415#124—1221no—
416#124C4×D6111yescharacteristic, complemented
417#123—21no—
418#123—1222no—
419#123—1222no—
420#123—1222no—
421C22⋊Q8—612no—
422C22⋊Q8—1222no—
423C22⋊Q8C22×D6111yescharacteristic
424#121—612no—
425#121—612no—
426#121—612no—
427#121—612no—
428#121—1222no—
429#121—1222no—
430#121—1222no—
431#121—1222no—
432#121—1221no—
433#121—1221no—
434#121—1222no—
435#121—1221no—
436#121C22×D6111yescharacteristic
437#120—1222no—
438#120—1222no—
439#120—1222no—
440C4×Q8C4×D6111yescharacteristic, complemented
441C4×D4—21no—
442C4×D4—611no—
443C4×D4—612no—
444C4×D4—611no—
445C4×D4—612no—
446C4×D4—611no—
447C4×D4—612no—
448C4×D4—611no—
449C4×D4—1221no—
450C4×D4—1221no—
451C4×D4—1228no—
452C4×D4—1222no—
453C4×D4—1222no—
454C4×D4—1222no—
455C4×D4—1221no—
456C4×D4C4×D6111yescharacteristic, complemented
457#117—21no—
458#117—612no—
459#117—1221no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—612no—
462C2×C4⋊C4—1221no—
463C2×C22⋊C4—612no—
464C2×C22⋊C4—1222no—
465C2×C22⋊C4—1222no—
466C2×C22⋊C4—1222no—
467C2×C42—21no—
468C2×C42—1222no—
469C2×C42—1221no—
470C2×C42C22×D6111yescharacteristic
471C4⋊C8—21no—
472C4⋊C8—1221no—
473C22⋊C8—612no—
474C22⋊C8—1222no—
475C22⋊C8—1222no—
476C22⋊C8C22×D6111yescharacteristic
477C22⋊C8C22×D6111yescharacteristic
478#97—1221no—
479C4×C8—21no—
480#95—21no—
481#95—612no—
482#95—1222no—
483#95C22×D6111yescharacteristic
484#95C22×D6111yescharacteristic
485C24—612no—
486C24—1222no—
487#41—4881no—
488#41—4881no—
489#41—4882no—
490C2×Q8—1221no—
491C2×Q8C2×C4×D6111yescharacteristic
492C2×D4—21no—
493C2×D4—612no—
494C2×D4—611no—
495C2×D4—612no—
496C2×D4—611no—
497C2×D4—1224no—
498C2×D4—1222no—
499C2×D4—1222no—
500C2×D4—1222no—
501C2×D4—1222no—
502C2×D4—1222no—
503C2×D4—1222no—
504C2×D4—1221no—
505C2×D4—1221no—
506C2×D4—4882no—
507C2×D4—4882no—
508C2×D4—4882no—
509C2×D4—2444no—
510C2×D4C2×C4×D6111yescharacteristic
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—612no—
515C22×C4—612no—
516C22×C4—612no—
517C22×C4—612no—
518C22×C4—612no—
519C22×C4—1222no—
520C22×C4—1222no—
521C22×C4—1228no—
522C22×C4—1222no—
523C22×C4—1222no—
524C22×C4—4882no—
525C22×C4—4882no—
526C22×C4—4882no—
527C22×C4D4×D6111yescharacteristic
528C22×C4D4×D6111yescharacteristic
529C22×C4C23×D6111yescharacteristic
530M16—4882no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—1222no—
534C2×C8—4882no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—611no—
540C4⋊C4—611no—
541C4⋊C4—612no—
542C4⋊C4—612no—
543C4⋊C4—1222no—
544C4⋊C4—1222no—
545C4⋊C4—1224no—
546C4⋊C4—1221no—
547C4⋊C4C2×C4×D6111yescharacteristic
548C4⋊C4C2×C4×D6111yescharacteristic
549C22⋊C4—21no—
550C22⋊C4—21no—
551C22⋊C4—21no—
552C22⋊C4—21no—
553C22⋊C4—21no—
554C22⋊C4—612no—
555C22⋊C4—612no—
556C22⋊C4—612no—
557C22⋊C4—612no—
558C22⋊C4—1222no—
559C22⋊C4—1222no—
560C22⋊C4—1222no—
561C22⋊C4—1222no—
562C22⋊C4—1228no—
563C22⋊C4—1222no—
564C22⋊C4—1222no—
565C22⋊C4—1222no—
566C42—24no—
567C42—21no—
568C42—1222no—
569C42—4881no—
570C42—4882no—
571C42C2×C4×D6111yescharacteristic
572C42C2×C4×D6111yescharacteristic
573C42D4×D6111yescharacteristic
574C42D4×D6111yescharacteristic
575C23—21no—
576C23—612no—
577C23—612no—
578C23—1224no—
579C23—1222no—
580C23—1222no—
581C23—1222no—
582C23—4882no—
583C23—4882no—
584C23—2442no—
585C23—2444no—
586C23C2×D4×D6111yescharacteristic
587Q8—41no—
588Q8—4881no—
589D4—41no—
590D4—41no—
591D4—41no—
592D4—614no—
593D4—1224no—
594D4—1222no—
595D4—4881no—
596D4—4882no—
597D4—4882no—
598D4—4882no—
599D4—4882no—
600D4—2442no—
601D4—2444no—
602D4—2442no—
603D4—2442no—
604D4—2442no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—612no—
620C2×C4—612no—
621C2×C4—1224no—
622C2×C4—1222no—
623C2×C4—4882no—
624C2×C4—4882no—
625C2×C4—4882no—
626C2×C4—4888no—
627C2×C4—2442no—
628C2×C4—2442no—
629C2×C4—2442no—
630C2×C4—2442no—
631C2×C4—2442no—
632C2×C4—2442no—
633C2×C4—2442no—
634C2×C4C22⋊C4×D6111yescharacteristic
635C2×C4C22⋊C4×D6111yescharacteristic
636C2×C4C22⋊C4×D6111yescharacteristic
637C2×C4C22⋊C4×D6111yescharacteristic
638C2×C4C22×C4×D6111yescharacteristic
639C2×C4C2×D4×D6111yescharacteristic
640C8—41no—
641C8—41no—
642C8—2442no—
643C22—21no—
644C22—21no—
645C22—41no—
646C22—41no—
647C22—41no—
648C22—614no—
649C22—1222no—
650C22—1222no—
651C22—1222no—
652C22—1222no—
653C22—1222no—
654C22—9764no—
655C22—2444no—
656C22—2444no—
657C22—2442no—
658C22—2442no—
659C22—2442no—
660C22C2×C22⋊C4×D6111yescharacteristic
661C22#1684056411yescharacteristic
662C22#1684056911yescharacteristic
663C4—21no—
664C4—21no—
665C4—21no—
666C4—21no—
667C4—21no—
668C4—42no—
669C4—42no—
670C4—41no—
671C4—41no—
672C4—41no—
673C4—1222no—
674C4—1222no—
675C4—2444no—
676C4—2442no—
677C4#104×D6112yes—
678C2—21no—
679C2—21no—
680C2—81no—
681C2—1224no—
682C2—4882no—
683C2—2442no—
684C2#2145427811yescharacteristic
685C2#2145434111yescharacteristic
686C2C2×#104×D6111yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1500C2
socleC22×C61C22×C22⋊C4
prime radical#21459853C2
cosocleC22×C4×C61C24
hypercenter#1500D61
hypocenterC61#17547
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1500

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #21454853C2semidirect
3. #21448181C2semidirect
4. #21444344C2semidirect
5. #21444333C2semidirect
6. #21444326C2semidirect
7. #21444322C2semidirect
8. #21444315C2semidirect
9. #21444309C2semidirect
10. #327×D61C2semidirect
11. C61×#1500C2semidirect
12. #16840477C4semidirect
13. #16840472C4semidirect
14. #16840465C4semidirect
16. #16840434C4semidirect
17. #16840405C4semidirect
20. D4×D244C4semidirect
32. #16839819C22semidirect
33. #16839724C22semidirect
34. C22⋊C8×D61C22semidirect
36. C4×C4⋊Dic61C22semidirect
38. #16839609C22semidirect
39. #95×D61C22semidirect
40. #16839499C22semidirect
41. #16839497C22semidirect
42. #16839497C22semidirect
44. #16839495C22semidirect
45. #16839495C22semidirect
47. C61×#431C22semidirect
48. C61×#376C22semidirect
49. C61×#328C22semidirect
50. C61×#328C22semidirect
53. C2×#11758226C2×C4semidirect
58. C2×D4×D61C2×C4semidirect
63. #14519777C2×C4semidirect
65. #14519774C2×C4semidirect
74. #14519753C2×C4semidirect
77. #14519752C2×C4semidirect
78. #14519752C2×C4semidirect
86. #14519748C2×C4semidirect
97. C4×D244C2×C4semidirect
105. #14519735C2×C4semidirect
108. C4⋊C4×D61C2×C4semidirect
123. #125×C61C2×C4semidirect
124. #124×C61C2×C4semidirect
128. C4×Q8×C61C2×C4semidirect
130. C4×D4×C61C2×C4semidirect
344. #1500D61semidirect
377. #431C2×D61semidirect
384. #376C2×D61semidirect
387. #328C2×D61semidirect
388. #328C2×D61semidirect
396. C61#17547semidirect
413. #125C4×D61semidirect
416. #124C4×D61semidirect
440. C4×Q8C4×D61semidirect
456. C4×D4C4×D61semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#214598532
#214548532
#214481812
#214443442
#214443332
#214443262
#214443222
#214443152
#214443092
#327×D612
C61×#15002
#1754761